What is the best way to find the range of a function? For example if we have a function given:
$$y = \frac{\sqrt{x+3}}{x^3 - 2x^2 - 8x}$$

The domain is easy enough to find:
Ensure that the term inside the square root is positive and that the denominator is not zero. However, how would we find the range of the function? Apart from graphing the function. I would like to do it algebraically.